Quantisation of Twistor Theory by Cocycle Twist

@inproceedings{Brain2008QuantisationOT,
  title={Quantisation of Twistor Theory by Cocycle Twist},
  author={Simon Brain and Shahn Majid},
  year={2008}
}
We present the main ingredients of twistor theory leading up to and including the Penrose-Ward transform in a coordinate algebra form which we can then ‘quantise’ by means of a functorial cocycle twist. The quantum algebras for the conformal group, twistor space CP3, compactified Minkowski space CM and the twistor correspondence space are obtained along with their canonical quantum differential calculi, both in a local form and in a global ∗algebra formulation which even in the classical… CONTINUE READING

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